Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19152075 | C2 | semidirect |
| 4. #19151697 | C2 | semidirect |
| 5. #19151685 | C2 | semidirect |
| 6. #19151606 | C2 | semidirect |
| 8. #19151553 | C2 | semidirect |
| 9. #427×C89 | C2 | semidirect |
| 12. C2×#13083563 | C4 | semidirect |
| 17. #15667977 | C22 | semidirect |
| 23. #15667935 | C22 | semidirect |
| 25. #15667922 | C22 | semidirect |
| 26. C8×Dic89 | C22 | semidirect |
| 30. #107×C89 | C22 | semidirect |
| 31. #106×C89 | C22 | semidirect |
| 35. C2×Dic178 | C2×C4 | semidirect |
| 43. #13083563 | C2×C4 | semidirect |
| 44. #13083563 | C2×C4 | semidirect |
| 54. C2×C8×C89 | C2×C4 | semidirect |
| 104. C89 | #2949 | semidirect |
| 110. #427 | D89 | semidirect |
| 130. #107 | C2×D89 | semidirect |
| 131. #106 | C2×D89 | semidirect |
| 152. C2×C8 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083563 | 2 |
| #19152075 | 2 |
| #19152072 | 2 |
| #19151697 | 2 |
| #19151685 | 2 |
| #19151606 | 2 |
| #19151602 | 2 |
| #19151553 | 2 |
| #427×C89 | 2 |
| #2949 | 89 |